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Multi-objective Optimization-Based Design of Robust Fractional-Order PIλDμ Controller for Coupled Tank Systems

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Proceedings of Fifth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 437))

Abstract

In this paper, optimal control of coupled tank systems has been proposed using H fractional-order controllers. Controller tuning has been posed as multi-objective mixed sensitivity minimization problem for tuning the fractional-order PID (FOPID) controllers and multi-objective variants of bat algorithm (MOBA) and differential evolution (MODE) has been used for optimization. Use of fractional-order controllers provides better characterization of dynamics of the process and their tuning using multi-objective optimization helps in attaining the robust trade-offs between sensitivity and complementary sensitivity. Both the FOPID controllers tuned with MOBA and MODE present robust behavior to external disturbance and the compared results show that MOBA-tuned controller presents efficient tracking of the reference.

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References

  1. Reynoso-Meza, G., et al.: Controller tuning using evolutionary multi-objective optimisation: current trends and applications. Control Eng. Pract. 28, 58–73 (2014). doi:10.1016/j.conengprac.2014.03.003

    Google Scholar 

  2. A˚ström, K.J., Kumar, P.R.: Control: a perspective. Automatica 50(1), 3–43 (2014). ISSN 0005-1098, doi:10.1016/j.automatica.2013.10.012

    Google Scholar 

  3. Chen, Y., Petráš, I., Xue, D.: Fractional order control-a tutorial. In: American Control Conference, 2009. ACC’09. IEEE (2009). doi:10.1109/ACC.2009.5160719

  4. Podlubny, I.: Fractional-order systems and PID controllers. IEEE Trans. Autom. Control 44(1), 208–213 (1999). doi:10.1109/9.739144

    Article  MathSciNet  MATH  Google Scholar 

  5. Abu Khadra, F., Abu Qudeiri, J.: Second order sliding mode control of the coupled tanks system. Math. Probl. Eng. (2015)

    Google Scholar 

  6. Kumar, A., Vashishth, M., Rai, L.: Liquid level control of coupled tank system using Fractional PID controller. Int. J. Emerg. Trends Electr. Electron. 3(1) (2013). 2320-9569

    Google Scholar 

  7. Katal, N., Kumar, P., Narayan, S.: Optimal PID controller for coupled-tank liquid-level control system using bat algorithm. In: International Conference on Power, Control and Embedded Systems (ICPCES), IEEE (2014). doi:10.1109/ICPCES.2014.7062818

  8. Singh, S.K., Katal, N., Modani, S.G.: Multi-objective optimization of PID controller for coupled-tank liquid-level control system using genetic algorithm. In: Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28–30, 2012. Springer India (2014). doi:10.1007/978-81-322-1602-5_7

    Google Scholar 

  9. Xu, J.-X., Hang, C.-C., Liu, C.: Parallel structure and tuning of a fuzzy PID controller. Automatica 36(5), 673–684 (2000). doi:10.1016/S0005-1098(99)00192-2

    Article  MathSciNet  MATH  Google Scholar 

  10. Tepljakov, A., Petlenkov, E., Belikov, J.: FOMCON: fractional-order modeling and control toolbox for MATLAB. In: Proceedings of 18th International Mixed Design of Integrated Circuits and Systems (MIXDES) Conference (2011)

    Google Scholar 

  11. Maciejowski, J.M.: Multivariate feedback design (1989)

    Google Scholar 

  12. Yang, X.-S.: Bat algorithm for multi-objective optimisation. International Journal of Bio-Inspired Computation 3(5), 267–274 (2011). doi:10.1504/IJBIC.2011.042259

    Article  Google Scholar 

  13. Storn, R., Price, K.: Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(4), 341–359 (1997). doi:10.1023/A:1008202821328

    Article  MathSciNet  MATH  Google Scholar 

  14. Okdem, S.: A simple and global optimization algorithm for engineering problems: differential evolution algorithm. Turk J. Elec. Eng. 12(1) (2004)

    Google Scholar 

  15. Storn, R.: Differential Evolution Research–Trends and Open Questions. Advances in Differential Evolution. Springer, Berlin, pp. 1–31 (2008). doi:10.1007/978-3-540-68830-3_1

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Correspondence to Nitish Katal .

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Katal, N., Narayan, S. (2016). Multi-objective Optimization-Based Design of Robust Fractional-Order PIλDμ Controller for Coupled Tank Systems. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 437. Springer, Singapore. https://doi.org/10.1007/978-981-10-0451-3_4

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  • DOI: https://doi.org/10.1007/978-981-10-0451-3_4

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0450-6

  • Online ISBN: 978-981-10-0451-3

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